To determine the correct formula of aluminum acetate, we need to understand the valency of the ions involved.
1. Identify the valency of aluminum and acetate:
- Aluminum (Al) has a valency of +3.
- Acetate (C₂H₃O₂) has a valency of -1.
2. Balance the charges:
- Since aluminum has a +3 charge, we need enough acetate ions to balance this positive charge. Each acetate ion has a -1 charge.
- To balance the +3 charge of one aluminum ion, we need three acetate ions because [tex]\( 3 \times -1 = -3 \)[/tex], which balances the +3 from aluminum.
3. Write the formula:
- The formula for aluminum acetate requires one aluminum ion and three acetate ions.
Thus, the correct formula for aluminum acetate is [tex]\( \text{Al}\left( \text{C}_2\text{H}_3\text{O}_2 \right)_3 \)[/tex].
Among the given options, the correct answer is:
[tex]\[ \boxed{Al \left( C _2 H _3 O _2\right)_3} \][/tex]